-3(b-3)-(4b-7)=3b+4

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Solution for -3(b-3)-(4b-7)=3b+4 equation: 


Simplifying
-3(b + -3) + -1(4b + -7) = 3b + 4

Reorder the terms:
-3(-3 + b) + -1(4b + -7) = 3b + 4
(-3 * -3 + b * -3) + -1(4b + -7) = 3b + 4
(9 + -3b) + -1(4b + -7) = 3b + 4

Reorder the terms:
9 + -3b + -1(-7 + 4b) = 3b + 4
9 + -3b + (-7 * -1 + 4b * -1) = 3b + 4
9 + -3b + (7 + -4b) = 3b + 4

Reorder the terms:
9 + 7 + -3b + -4b = 3b + 4

Combine like terms: 9 + 7 = 16
16 + -3b + -4b = 3b + 4

Combine like terms: -3b + -4b = -7b
16 + -7b = 3b + 4

Reorder the terms:
16 + -7b = 4 + 3b

Solving
16 + -7b = 4 + 3b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-3b' to each side of the equation.
16 + -7b + -3b = 4 + 3b + -3b

Combine like terms: -7b + -3b = -10b
16 + -10b = 4 + 3b + -3b

Combine like terms: 3b + -3b = 0
16 + -10b = 4 + 0
16 + -10b = 4

Add '-16' to each side of the equation.
16 + -16 + -10b = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -10b = 4 + -16
-10b = 4 + -16

Combine like terms: 4 + -16 = -12
-10b = -12

Divide each side by '-10'.
b = 1.2

Simplifying
b = 1.2

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